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Finding the Fourth Proportional to 9,105.36, 12,565.20 and 5,328.08

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Solution

The fourth proportional to 9,105.36, 12,565.20 and 5,328.08 is: 7,352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.36 : 12,565.20 = 5,328.08 : x
  2. Step 2: Convert to fraction form
    9,105.36/12,565.20 = 5,328.08/x
  3. Step 3: Cross multiply
    9,105.36x = 12,565.20 × 5,328.08
  4. Step 4: Simplify right side
    9,105.36x = 66,948,390.82
  5. Step 5: Solve for x
    x = 66,948,390.82/9,105.36
  6. Step 6: Final answer
    x = 7,352.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.